Unitary representations of the quantum "ax+b" group
Abstract
We find all unitary representations of the quantum "ax+b" group. It turns out that this quantum group is selfdual in the sense that all unitary representations are 'numbered' by elements of the same group. Moreover, we discover the formula for all unitary representations involving S.L. Woronowicz's quantum exponential function.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2001
 arXiv:
 arXiv:math/0102151
 Bibcode:
 2001math......2151R
 Keywords:

 Quantum Algebra;
 Operator Algebras;
 20G42 (Primary);
 47L65;
 81R15 (Secondary)
 EPrint:
 14 pages, LaTeX